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A) Friday B) Saturday
C) Sunday D) Thursday
Answer: A) Friday
Explanation Method:
15 Aug, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947)
Odd days in 1600 years = 0
Odd days in 300 years = 1
46 years = (35 ordinary years + 11 leap years) = (35 x 1 + 11 x 2)= 57 (8 weeks + 1 day) = 1 odd day
Jan. Feb. Mar. Apr. May. Jun. Jul. Aug
( 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 ) = 227 days = (32 weeks + 3 days) = 3 odd days.
Total number of odd days = (0 + 1 + 1 + 3) = 5 odd days.
Hence, as the number of odd days = 5 , given day is Friday.
Explanation 1:
Each day of the week is repeated after 7 days. So, after 63 days, it will be Monday.
After 61 days, it will be Saturday.
Important Formula:
1.Odd Days:
We are supposed to find the day of the week on a given date.
For this, we use the concept of ‘odd days’.
In a given period, the number of days more than the complete weeks are called odd days.
2.Leap Year:
(i). Every year divisible by 4 is a leap year, if it is not a century.
(ii). Every 4th century is a leap year and no other century is a leap year.
Note: A leap year has 366 days.
Examples:
Each of the years 1948, 2004, 1676 etc. is a leap year.
Each of the years 400, 800, 1200, 1600, 2000 etc. is a leap year.
None of the years 2001, 2002, 2003, 2005, 1800, 2100 is a leap year.
3.Ordinary Year:
The year which is not a leap year is called an ordinary years. An ordinary year has 365 days.
4.Counting of Odd Days:
1 ordinary year = 365 days = (52 weeks + 1 day.)
1 ordinary year has 1 odd day.
1 leap year = 366 days = (52 weeks + 2 days)
1 leap year has 2 odd days.
100 years = 76 ordinary years + 24 leap years
= (76 x 1 + 24 x 2) odd days = 124 odd days.
= (17 weeks + days) 5 odd days.
Number of odd days in 100 years = 5.
Number of odd days in 200 years = (5 x 2) 3 odd days.
Number of odd days in 300 years = (5 x 3) 1 odd day.
Number of odd days in 400 years = (5 x 4 + 1) 0 odd day.
Similarly, each one of 800 years, 1200 years, 1600 years, 2000 years etc. has 0 odd days.
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Dear student you can check your answer here with explanation. TNPSC statistics exam is the first exam in the year of 2022.
Tnpsc Statistics question paper GS part 1
##CSCE-2022
CSGS-2022
CSMA-2022
CSST-2022
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Tnpsc Statistics question paper GS part 2
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